230077536 has 192 divisors, whose sum is σ = 708986880. Its totient is φ = 64696320.

The previous prime is 230077513. The next prime is 230077537. The reversal of 230077536 is 635770032.

230077536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230077497 and 230077506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230077537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734916 + ... + 735228.

It is an arithmetic number, because the mean of its divisors is an integer number (3692640).

Almost surely, 2^230077536 is an apocalyptic number.

230077536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230077536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354493440).

230077536 is an abundant number, since it is smaller than the sum of its proper divisors (478909344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230077536 is a wasteful number, since it uses less digits than its factorization.

230077536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 230077536 is about 15168.3069589193. The cubic root of 230077536 is about 612.7614086731.

The spelling of 230077536 in words is "two hundred thirty million, seventy-seven thousand, five hundred thirty-six".